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Paul B. Slater's user avatar
Paul B. Slater's user avatar
Paul B. Slater's user avatar
Paul B. Slater
  • Member for 7 years, 11 months
  • Last seen more than 2 years ago
  • Santa Barbara, CA, United States
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revised
What are examples of symmetric copulas $f(x,y)=f(y,x)$ having relative minima for $f(x,x)$?
parenthetical phrase inserted
comment
What are examples of symmetric copulas $f(x,y)=f(y,x)$ having relative minima for $f(x,x)$?
Thanks for the comment, RH! Subject to my sampling and obvious lack of full knowledge of the governing process (for which I am searching for possible rules), it appears that if one deviates from the x = y line, the probabilities increase.
asked
What are examples of symmetric copulas $f(x,y)=f(y,x)$ having relative minima for $f(x,x)$?
revised
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
classification change
revised
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
new calculation in linked notebook shows near uniformity of marginals
revised
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
new remark about value assigned to {i,j} cell
revised
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
added 250 characters in body
revised
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
underlying random matrix generation process citation given--some rewriting too
revised
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
retitled per whuber comment
comment
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
whuber, thanks! I'm NOT sampling uniformly over x and y in [0,1]. I get the results by generating "density matrices"( in quantum parlance)--giving me the q1 results and testing whether they pass a "separability" test--in which case they are counted in the Q1 set. The z in the z-axis is the "separability probability".
revised
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
deleted 46 characters in body
revised
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
deleted 64 characters in body
asked
Do any standard copulas fit well these sampled bivariate data--exhibiting repulsive behavior--having uniform marginals
revised
Can one uniformly generate complex numbers of absolute value less than a given constant $R \neq 1$?
Note added at end
revised
Can one uniformly generate complex numbers of absolute value less than a given constant $R \neq 1$?
Title changed at end
revised
Can one uniformly generate complex numbers of absolute value less than a given constant $R \neq 1$?
Final sentence added--distinguishing question.
comment
Can one uniformly generate complex numbers of absolute value less than a given constant $R \neq 1$?
@Xi'an Don't understand the double-bar notation.
revised
Can one uniformly generate complex numbers of absolute value less than a given constant $R \neq 1$?
Significant point of confusion now raised at end of answer.
answered
Can one uniformly generate complex numbers of absolute value less than a given constant $R \neq 1$?
asked
Can one uniformly generate complex numbers of absolute value less than a given constant $R \neq 1$?